![Bonsoir, j'ai cet exercice en spé maths (Terminale S) merci de m'aider je ne trouve pas comment démontrer - Nosdevoirs.fr Bonsoir, j'ai cet exercice en spé maths (Terminale S) merci de m'aider je ne trouve pas comment démontrer - Nosdevoirs.fr](https://fr-static.z-dn.net/files/d6a/1f26b29d7f63da2c955b7f04ad3d2800.jpg)
Bonsoir, j'ai cet exercice en spé maths (Terminale S) merci de m'aider je ne trouve pas comment démontrer - Nosdevoirs.fr
![Prove that 1 - 2n + 2n(2n - 1)2! - 2n(2n - 1)(2n - 1)3! + ... + ( - 1)^n - 1 2n(n - 1)...(n + 2)(n - 1) = ( - 1)^n + 1 (2n)2(n!)^2, where n is a + ive integer. Prove that 1 - 2n + 2n(2n - 1)2! - 2n(2n - 1)(2n - 1)3! + ... + ( - 1)^n - 1 2n(n - 1)...(n + 2)(n - 1) = ( - 1)^n + 1 (2n)2(n!)^2, where n is a + ive integer.](https://dwes9vv9u0550.cloudfront.net/images/4651549/41483bec-ceec-4ac3-9b5d-dc33b229694b.jpg)
Prove that 1 - 2n + 2n(2n - 1)2! - 2n(2n - 1)(2n - 1)3! + ... + ( - 1)^n - 1 2n(n - 1)...(n + 2)(n - 1) = ( - 1)^n + 1 (2n)2(n!)^2, where n is a + ive integer.
![Induction Help: prove $2n+1< 2^n$ for all $n$ greater than or equal to $3$. - Mathematics Stack Exchange Induction Help: prove $2n+1< 2^n$ for all $n$ greater than or equal to $3$. - Mathematics Stack Exchange](https://i.stack.imgur.com/xxAPI.png)
Induction Help: prove $2n+1< 2^n$ for all $n$ greater than or equal to $3$. - Mathematics Stack Exchange
![Prove that x^(2n-1)+y^(2n-1) is divisible by x+y for all n belongs to N - CBSE Class 11 - Learn CBSE Forum Prove that x^(2n-1)+y^(2n-1) is divisible by x+y for all n belongs to N - CBSE Class 11 - Learn CBSE Forum](https://ask.learncbse.in/uploads/db3785/original/3X/9/c/9c862b148c19175e219b2a2ddeb73481ce18b0b1.png)